Exploring stable models in $f(R;T;R_{\mu \nu }{T}^{\mu \nu })$ gravity

Abstract

We examine in this paper the stability analysis in $f(R;T;R_{\mu \nu }{T}^{\mu \nu })$ modified gravity, where $R$ and $T$ are the Ricci scalar and the trace of the energy-momentum tensor, respectively. By considering the flat Friedmann universe, we obtain the corresponding generalized Friedmann equations and we evaluate the geometrical and matter perturbation functions. The stability is developed using the de Sitter and power-law solutions. We search for application the stability of two particular cases of $f(R;T;R_{\mu \nu }{T}^{\mu \nu })$ model by solving numerically the perturbation functions obtained.

16 pages, 2 figures

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• Effects of Non-minimal Matter-geometry Coupling on Embedding Class-one Anisotropic Solutions
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• Influence of $f(\mathcal{R},\mathcal{T},\mathcal{Q})$ Gravity on Cylindrical Collapse
• Study of Charged Cylindrical Collapse in $f(\mathcal{R},\mathcal{T},\mathcal{Q})$ Gravity
• Charged Anisotropic Tolman IV Solution in Matter-Geometry Coupled Theory
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